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Q1:

2025 Slot 1

Logical Reasoning > Games & Tournaments

Hard

At InnovateX, six employees, Asha, Bunty, Chintu, Dolly, Eklavya, and Falguni, were split into two groups of three each: Elite led by Manager Kuku, and Novice led by Manager Lalu. At the end of each quarter, Kuku and Lalu handed out ratings to all members in their respective groups. In each group, each employee received a distinct integer rating from 1 to 3. The score for an employee at the end of a quarter is defined as their cumulative rating from the beginning of the year. At the end of each quarter the employee in Novice with the highest score was promoted to Elite, and the employee in Elite with the minimum score was demoted to Novice. If there was a tie in scores, the employee with a higher rating in the latest quarter was ranked higher. 1. Asha, Bunty, and Chintu were in Elite at the beginning of Quarter 1. All of them were in Novice at the beginning of Quarter 4. 2. Dolly and Falguni were the only employees who got the same rating across all the quarters. 3. The following is known about ratings given by Lalu: • Bunty received a rating of 1 in Quarter 2. • Asha and Dolly received ratings of 1 and 2, respectively, in Quarter 3.

What was Eklavya’s score at the end of Quarter 2?

Entered answer:

Correct Answer

4

Correct Answer

Explanation →

Q2:

2025 Slot 1

Logical Reasoning > Games & Tournaments

Hard

At InnovateX, six employees, Asha, Bunty, Chintu, Dolly, Eklavya, and Falguni, were split into two groups of three each: Elite led by Manager Kuku, and Novice led by Manager Lalu. At the end of each quarter, Kuku and Lalu handed out ratings to all members in their respective groups. In each group, each employee received a distinct integer rating from 1 to 3. The score for an employee at the end of a quarter is defined as their cumulative rating from the beginning of the year. At the end of each quarter the employee in Novice with the highest score was promoted to Elite, and the employee in Elite with the minimum score was demoted to Novice. If there was a tie in scores, the employee with a higher rating in the latest quarter was ranked higher. 1. Asha, Bunty, and Chintu were in Elite at the beginning of Quarter 1. All of them were in Novice at the beginning of Quarter 4. 2. Dolly and Falguni were the only employees who got the same rating across all the quarters. 3. The following is known about ratings given by Lalu: • Bunty received a rating of 1 in Quarter 2. • Asha and Dolly received ratings of 1 and 2, respectively, in Quarter 3.

How many employees changed groups more than once up to the beginning of Quarter 4?

Entered answer:

Correct Answer

0

Correct Answer

Explanation →

Q3:

2025 Slot 1

Logical Reasoning > Games & Tournaments

Hard

At InnovateX, six employees, Asha, Bunty, Chintu, Dolly, Eklavya, and Falguni, were split into two groups of three each: Elite led by Manager Kuku, and Novice led by Manager Lalu. At the end of each quarter, Kuku and Lalu handed out ratings to all members in their respective groups. In each group, each employee received a distinct integer rating from 1 to 3. The score for an employee at the end of a quarter is defined as their cumulative rating from the beginning of the year. At the end of each quarter the employee in Novice with the highest score was promoted to Elite, and the employee in Elite with the minimum score was demoted to Novice. If there was a tie in scores, the employee with a higher rating in the latest quarter was ranked higher. 1. Asha, Bunty, and Chintu were in Elite at the beginning of Quarter 1. All of them were in Novice at the beginning of Quarter 4. 2. Dolly and Falguni were the only employees who got the same rating across all the quarters. 3. The following is known about ratings given by Lalu: • Bunty received a rating of 1 in Quarter 2. • Asha and Dolly received ratings of 1 and 2, respectively, in Quarter 3.

What was Bunty’s score at the end of Quarter 3?

Entered answer:

Correct Answer

5

Correct Answer

Explanation →

Q4:

2025 Slot 1

Logical Reasoning > Games & Tournaments

Hard

At InnovateX, six employees, Asha, Bunty, Chintu, Dolly, Eklavya, and Falguni, were split into two groups of three each: Elite led by Manager Kuku, and Novice led by Manager Lalu. At the end of each quarter, Kuku and Lalu handed out ratings to all members in their respective groups. In each group, each employee received a distinct integer rating from 1 to 3. The score for an employee at the end of a quarter is defined as their cumulative rating from the beginning of the year. At the end of each quarter the employee in Novice with the highest score was promoted to Elite, and the employee in Elite with the minimum score was demoted to Novice. If there was a tie in scores, the employee with a higher rating in the latest quarter was ranked higher. 1. Asha, Bunty, and Chintu were in Elite at the beginning of Quarter 1. All of them were in Novice at the beginning of Quarter 4. 2. Dolly and Falguni were the only employees who got the same rating across all the quarters. 3. The following is known about ratings given by Lalu: • Bunty received a rating of 1 in Quarter 2. • Asha and Dolly received ratings of 1 and 2, respectively, in Quarter 3.

For how many employees can the scores at the end of Quarter 3 be determined with certainty?

Entered answer:

Correct Answer

4

Correct Answer

Explanation →

Q5:

2025 Slot 1

Logical Reasoning > Games & Tournaments

Hard

At InnovateX, six employees, Asha, Bunty, Chintu, Dolly, Eklavya, and Falguni, were split into two groups of three each: Elite led by Manager Kuku, and Novice led by Manager Lalu. At the end of each quarter, Kuku and Lalu handed out ratings to all members in their respective groups. In each group, each employee received a distinct integer rating from 1 to 3. The score for an employee at the end of a quarter is defined as their cumulative rating from the beginning of the year. At the end of each quarter the employee in Novice with the highest score was promoted to Elite, and the employee in Elite with the minimum score was demoted to Novice. If there was a tie in scores, the employee with a higher rating in the latest quarter was ranked higher. 1. Asha, Bunty, and Chintu were in Elite at the beginning of Quarter 1. All of them were in Novice at the beginning of Quarter 4. 2. Dolly and Falguni were the only employees who got the same rating across all the quarters. 3. The following is known about ratings given by Lalu: • Bunty received a rating of 1 in Quarter 2. • Asha and Dolly received ratings of 1 and 2, respectively, in Quarter 3.

Which of the following statements is/are NECESSARILY true? I. Asha received a rating of 2 in Quarter 1. II. Asha received a rating of 1 in Quarter 2.

Only I

Neither I nor II

Only II

Both I and II

Correct Answer

Option 3

Correct Answer

Explanation →

Q6:

CAT 2024 Slot 1

Logical Reasoning > Games & Tournaments

Hard

The game of QUIET is played between two teams. Six teams, numbered 1, 2, 3, 4, 5, and 6, play in a QUIET tournament. These teams are divided equally into two groups. In the tournament, each team plays every other team in the same group only once, and each team in the other group exactly twice. The tournament has several rounds, each of which consists of a few games. Every team plays exactly one game in each round. $$\newline$$ The following additional facts are known about the schedule of games in the tournament. $$\newline$$ 1. Each team played against a team from the other group in Round 8. $$\newline$$ 2. In Round 4 and Round 7, the match-ups, that is the pair of teams playing against each other, were identical. In Round 5 and Round 8, the match-ups were identical. $$\newline$$ 3. Team 4 played Team 6 in both Round 1 and Round 2. $$\newline$$ 4. Team 1 played Team 5 ONLY once and that was in Round 2. $$\newline$$ 5. Team 3 played Team 4 in Round 3. Team 1 played Team 6 in Round 6. $$\newline$$ 6. In Round 8, Team 3 played Team 6, while Team 2 played Team 5.

How many rounds were there in the tournament?

Entered answer:

Correct Answer

8

Correct Answer

Explanation →

Q7:

CAT 2024 Slot 1

Logical Reasoning > Games & Tournaments

Hard

The game of QUIET is played between two teams. Six teams, numbered 1, 2, 3, 4, 5, and 6, play in a QUIET tournament. These teams are divided equally into two groups. In the tournament, each team plays every other team in the same group only once, and each team in the other group exactly twice. The tournament has several rounds, each of which consists of a few games. Every team plays exactly one game in each round. $$\newline$$ The following additional facts are known about the schedule of games in the tournament. $$\newline$$ 1. Each team played against a team from the other group in Round 8. $$\newline$$ 2. In Round 4 and Round 7, the match-ups, that is the pair of teams playing against each other, were identical. In Round 5 and Round 8, the match-ups were identical. $$\newline$$ 3. Team 4 played Team 6 in both Round 1 and Round 2. $$\newline$$ 4. Team 1 played Team 5 ONLY once and that was in Round 2. $$\newline$$ 5. Team 3 played Team 4 in Round 3. Team 1 played Team 6 in Round 6. $$\newline$$ 6. In Round 8, Team 3 played Team 6, while Team 2 played Team 5.

What is the number of the team that played Team 1 in Round 5?

Entered answer:

Correct Answer

4

Correct Answer

Explanation →

Q8:

CAT 2024 Slot 1

Logical Reasoning > Games & Tournaments

Hard

The game of QUIET is played between two teams. Six teams, numbered 1, 2, 3, 4, 5, and 6, play in a QUIET tournament. These teams are divided equally into two groups. In the tournament, each team plays every other team in the same group only once, and each team in the other group exactly twice. The tournament has several rounds, each of which consists of a few games. Every team plays exactly one game in each round. $$\newline$$ The following additional facts are known about the schedule of games in the tournament. $$\newline$$ 1. Each team played against a team from the other group in Round 8. $$\newline$$ 2. In Round 4 and Round 7, the match-ups, that is the pair of teams playing against each other, were identical. In Round 5 and Round 8, the match-ups were identical. $$\newline$$ 3. Team 4 played Team 6 in both Round 1 and Round 2. $$\newline$$ 4. Team 1 played Team 5 ONLY once and that was in Round 2. $$\newline$$ 5. Team 3 played Team 4 in Round 3. Team 1 played Team 6 in Round 6. $$\newline$$ 6. In Round 8, Team 3 played Team 6, while Team 2 played Team 5.

Which team among the teams numbered 2, 3, 4, and 5 was not part of the same group?

4

5

3

2

Correct Answer

Option 2

Correct Answer

Explanation →

Q9:

CAT 2024 Slot 1

Logical Reasoning > Games & Tournaments

Hard

The game of QUIET is played between two teams. Six teams, numbered 1, 2, 3, 4, 5, and 6, play in a QUIET tournament. These teams are divided equally into two groups. In the tournament, each team plays every other team in the same group only once, and each team in the other group exactly twice. The tournament has several rounds, each of which consists of a few games. Every team plays exactly one game in each round. $$\newline$$ The following additional facts are known about the schedule of games in the tournament. $$\newline$$ 1. Each team played against a team from the other group in Round 8. $$\newline$$ 2. In Round 4 and Round 7, the match-ups, that is the pair of teams playing against each other, were identical. In Round 5 and Round 8, the match-ups were identical. $$\newline$$ 3. Team 4 played Team 6 in both Round 1 and Round 2. $$\newline$$ 4. Team 1 played Team 5 ONLY once and that was in Round 2. $$\newline$$ 5. Team 3 played Team 4 in Round 3. Team 1 played Team 6 in Round 6. $$\newline$$ 6. In Round 8, Team 3 played Team 6, while Team 2 played Team 5.

What is the number of the team that played Team 1 in Round 7?

Entered answer:

Correct Answer

3

Correct Answer

Explanation →

Q10:

CAT 2024 Slot 1

Logical Reasoning > Games & Tournaments

Hard

The game of QUIET is played between two teams. Six teams, numbered 1, 2, 3, 4, 5, and 6, play in a QUIET tournament. These teams are divided equally into two groups. In the tournament, each team plays every other team in the same group only once, and each team in the other group exactly twice. The tournament has several rounds, each of which consists of a few games. Every team plays exactly one game in each round. $$\newline$$ The following additional facts are known about the schedule of games in the tournament. $$\newline$$ 1. Each team played against a team from the other group in Round 8. $$\newline$$ 2. In Round 4 and Round 7, the match-ups, that is the pair of teams playing against each other, were identical. In Round 5 and Round 8, the match-ups were identical. $$\newline$$ 3. Team 4 played Team 6 in both Round 1 and Round 2. $$\newline$$ 4. Team 1 played Team 5 ONLY once and that was in Round 2. $$\newline$$ 5. Team 3 played Team 4 in Round 3. Team 1 played Team 6 in Round 6. $$\newline$$ 6. In Round 8, Team 3 played Team 6, while Team 2 played Team 5.

What is the number of the team that played Team 6 in Round 3?

Entered answer:

Correct Answer

5

Correct Answer

Explanation →

Q11:

CAT 2022 Slot 3

Logical Reasoning > Games & Tournaments

Hard

Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in exactly one pair. The only restriction in the pairing was that the pairs would change in successive rounds. For example, if Pulak formed a pair with Qasim in the first round, then he would have to form a pair with Ritesh or Suresh in the second round. He would be free to pair with Qasim again in the third round. In each round, each pair decided whether to play the game in that round or not. If they decided not to play, then no money was exchanged between them. If they decided to play, they had to bet either Rs.1 or Rs.2 in that round. For example, if they chose to bet Rs.2, then the player winning the game got Rs.2 from the one losing the game. $$\newline$$ At the beginning of the tournament, the players had Rs.10 each. The following table shows partial information about the amounts that the players had at the end of each of the eight rounds. It shows every time a player had Rs.10 at the end of a round, as well as every time, at the end of a round, a player had either the minimum or the maximum amount that he would have had across the eight rounds. For example, Suresh had Rs.10 at the end of Rounds 1, 3, and 8 and not after any of the other rounds. The maximum amount that he had at the end of any round was Rs.13 (at the end of Round 5), and the minimum amount he had at the end of any round was Rs.8 (at the end of Round 2). At the end of all other rounds, he must have had either Rs.9, Rs.11, or Rs.12. $$\newline$$ It was also known that Pulak and Qasim had the same amount of money with them at the end of Round 4. $$\newline$$ <img src="https://balti.aftergrad.in/questions/KxnCiHfJ7IfvOGy" width="300px"/>

What BEST can be said about the amount of money that Ritesh had with him at the end of Round 8?

Rs. 5 or Rs. 6

Rs. 4 or Rs. 5

Exactly Rs. 6

Exactly Rs. 5

Correct Answer

Option 3

Correct Answer

Explanation →

Q12:

CAT 2022 Slot 3

Logical Reasoning > Games & Tournaments

Hard

Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in exactly one pair. The only restriction in the pairing was that the pairs would change in successive rounds. For example, if Pulak formed a pair with Qasim in the first round, then he would have to form a pair with Ritesh or Suresh in the second round. He would be free to pair with Qasim again in the third round. In each round, each pair decided whether to play the game in that round or not. If they decided not to play, then no money was exchanged between them. If they decided to play, they had to bet either Rs.1 or Rs.2 in that round. For example, if they chose to bet Rs.2, then the player winning the game got Rs.2 from the one losing the game. $$\newline$$ At the beginning of the tournament, the players had Rs.10 each. The following table shows partial information about the amounts that the players had at the end of each of the eight rounds. It shows every time a player had Rs.10 at the end of a round, as well as every time, at the end of a round, a player had either the minimum or the maximum amount that he would have had across the eight rounds. For example, Suresh had Rs.10 at the end of Rounds 1, 3, and 8 and not after any of the other rounds. The maximum amount that he had at the end of any round was Rs.13 (at the end of Round 5), and the minimum amount he had at the end of any round was Rs.8 (at the end of Round 2). At the end of all other rounds, he must have had either Rs.9, Rs.11, or Rs.12. $$\newline$$ It was also known that Pulak and Qasim had the same amount of money with them at the end of Round 4. $$\newline$$ <img src="https://balti.aftergrad.in/questions/KxnCiHfJ7IfvOGy" width="300px"/>

What BEST can be said about the amount of money that Pulak had with him at the end of Round 6?

Rs. 11 or Rs. 12

Rs. 12 or Rs. 13

Exactly Rs. 11

Exactly Rs. 12

Correct Answer

Option 4

Correct Answer

Explanation →

Q13:

CAT 2022 Slot 3

Logical Reasoning > Games & Tournaments

Hard

Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in exactly one pair. The only restriction in the pairing was that the pairs would change in successive rounds. For example, if Pulak formed a pair with Qasim in the first round, then he would have to form a pair with Ritesh or Suresh in the second round. He would be free to pair with Qasim again in the third round. In each round, each pair decided whether to play the game in that round or not. If they decided not to play, then no money was exchanged between them. If they decided to play, they had to bet either Rs.1 or Rs.2 in that round. For example, if they chose to bet Rs.2, then the player winning the game got Rs.2 from the one losing the game. $$\newline$$ At the beginning of the tournament, the players had Rs.10 each. The following table shows partial information about the amounts that the players had at the end of each of the eight rounds. It shows every time a player had Rs.10 at the end of a round, as well as every time, at the end of a round, a player had either the minimum or the maximum amount that he would have had across the eight rounds. For example, Suresh had Rs.10 at the end of Rounds 1, 3, and 8 and not after any of the other rounds. The maximum amount that he had at the end of any round was Rs.13 (at the end of Round 5), and the minimum amount he had at the end of any round was Rs.8 (at the end of Round 2). At the end of all other rounds, he must have had either Rs.9, Rs.11, or Rs.12. $$\newline$$ It was also known that Pulak and Qasim had the same amount of money with them at the end of Round 4. $$\newline$$ <img src="https://balti.aftergrad.in/questions/KxnCiHfJ7IfvOGy" width="300px"/>

How much money (in Rs.) did Ritesh have at the end of Round 4?

Entered answer:

Correct Answer

6

Correct Answer

Explanation →

Q14:

CAT 2022 Slot 3

Logical Reasoning > Games & Tournaments

Hard

Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in exactly one pair. The only restriction in the pairing was that the pairs would change in successive rounds. For example, if Pulak formed a pair with Qasim in the first round, then he would have to form a pair with Ritesh or Suresh in the second round. He would be free to pair with Qasim again in the third round. In each round, each pair decided whether to play the game in that round or not. If they decided not to play, then no money was exchanged between them. If they decided to play, they had to bet either Rs.1 or Rs.2 in that round. For example, if they chose to bet Rs.2, then the player winning the game got Rs.2 from the one losing the game. $$\newline$$ At the beginning of the tournament, the players had Rs.10 each. The following table shows partial information about the amounts that the players had at the end of each of the eight rounds. It shows every time a player had Rs.10 at the end of a round, as well as every time, at the end of a round, a player had either the minimum or the maximum amount that he would have had across the eight rounds. For example, Suresh had Rs.10 at the end of Rounds 1, 3, and 8 and not after any of the other rounds. The maximum amount that he had at the end of any round was Rs.13 (at the end of Round 5), and the minimum amount he had at the end of any round was Rs.8 (at the end of Round 2). At the end of all other rounds, he must have had either Rs.9, Rs.11, or Rs.12. $$\newline$$ It was also known that Pulak and Qasim had the same amount of money with them at the end of Round 4. $$\newline$$ <img src="https://balti.aftergrad.in/questions/KxnCiHfJ7IfvOGy" width="300px"/>

How many games were played with a bet of Rs. 2?

Entered answer:

Correct Answer

6

Correct Answer

Explanation →

Q15:

CAT 2022 Slot 3

Logical Reasoning > Games & Tournaments

Hard

Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in exactly one pair. The only restriction in the pairing was that the pairs would change in successive rounds. For example, if Pulak formed a pair with Qasim in the first round, then he would have to form a pair with Ritesh or Suresh in the second round. He would be free to pair with Qasim again in the third round. In each round, each pair decided whether to play the game in that round or not. If they decided not to play, then no money was exchanged between them. If they decided to play, they had to bet either Rs.1 or Rs.2 in that round. For example, if they chose to bet Rs.2, then the player winning the game got Rs.2 from the one losing the game. $$\newline$$ At the beginning of the tournament, the players had Rs.10 each. The following table shows partial information about the amounts that the players had at the end of each of the eight rounds. It shows every time a player had Rs.10 at the end of a round, as well as every time, at the end of a round, a player had either the minimum or the maximum amount that he would have had across the eight rounds. For example, Suresh had Rs.10 at the end of Rounds 1, 3, and 8 and not after any of the other rounds. The maximum amount that he had at the end of any round was Rs.13 (at the end of Round 5), and the minimum amount he had at the end of any round was Rs.8 (at the end of Round 2). At the end of all other rounds, he must have had either Rs.9, Rs.11, or Rs.12. $$\newline$$ It was also known that Pulak and Qasim had the same amount of money with them at the end of Round 4. $$\newline$$ <img src="https://balti.aftergrad.in/questions/KxnCiHfJ7IfvOGy" width="300px"/>

Which of the following pairings was made in Round 5?

Pulak and Suresh

Qasim and Suresh

Pulak and Qasim

Pulak and Ritesh

Correct Answer

Option 1

Correct Answer

Explanation →

Q16:

CAT 2021 Slot 2

Logical Reasoning > Games & Tournaments

Easy

The game of Chango is a game where two people play against each other; one of them wins and the other loses, i.e., there are no drawn Chango games. 12 players participated in a Chango championship. They were divided into four groups: Group A consisted of Aruna, Azul, and Arif; Group B consisted of Brinda, Brij, and Biju; Group C consisted of Chitra, Chetan, and Chhavi; and Group D consisted of Dipen, Donna, and Deb. $$\newline$$ Players within each group had a distinct rank going into the championship. The players have NOT been listed necessarily according to their ranks. In the group stage of the game, the second and third ranked players play against each other, and the winner of that game plays against the first ranked player of the group. The winner of this second game is considered as the winner of the group and enters a semi-final. $$\newline$$ The winners from Groups A and B play against each other in one semi-final, while the winners from Groups C and D play against each other in the other semi-final. The winners of the two semi-finals play against each other in the final to decide the winner of the championship. $$\newline$$ It is known that: $$\newline$$ 1. Chitra did not win the championship. $$\newline$$ 2. Aruna did not play against Arif. Brij did not play against Brinda. $$\newline$$ 3. Aruna, Biju, Chitra, and Dipen played three games each, Azul and Chetan played two games each, and the remaining players played one game each.

Who among the following was DEFINITELY NOT ranked first in his/her group?

Brij

Aruna

Dipen

Chitra

Correct Answer

Option 3

Correct Answer

Explanation →

Q17:

CAT 2021 Slot 2

Logical Reasoning > Games & Tournaments

Easy

The game of Chango is a game where two people play against each other; one of them wins and the other loses, i.e., there are no drawn Chango games. 12 players participated in a Chango championship. They were divided into four groups: Group A consisted of Aruna, Azul, and Arif; Group B consisted of Brinda, Brij, and Biju; Group C consisted of Chitra, Chetan, and Chhavi; and Group D consisted of Dipen, Donna, and Deb. $$\newline$$ Players within each group had a distinct rank going into the championship. The players have NOT been listed necessarily according to their ranks. In the group stage of the game, the second and third ranked players play against each other, and the winner of that game plays against the first ranked player of the group. The winner of this second game is considered as the winner of the group and enters a semi-final. $$\newline$$ The winners from Groups A and B play against each other in one semi-final, while the winners from Groups C and D play against each other in the other semi-final. The winners of the two semi-finals play against each other in the final to decide the winner of the championship. $$\newline$$ It is known that: $$\newline$$ 1. Chitra did not win the championship. $$\newline$$ 2. Aruna did not play against Arif. Brij did not play against Brinda. $$\newline$$ 3. Aruna, Biju, Chitra, and Dipen played three games each, Azul and Chetan played two games each, and the remaining players played one game each.

Which of the following pairs must have played against each other in the championship?

A) Donna, Chetan

B) Azul, Biju

C) Deb, Donna

D) Chitra, Dipen

Correct Answer

Option 4

Correct Answer

Explanation →

Q18:

CAT 2021 Slot 2

Logical Reasoning > Games & Tournaments

Easy

The game of Chango is a game where two people play against each other; one of them wins and the other loses, i.e., there are no drawn Chango games. 12 players participated in a Chango championship. They were divided into four groups: Group A consisted of Aruna, Azul, and Arif; Group B consisted of Brinda, Brij, and Biju; Group C consisted of Chitra, Chetan, and Chhavi; and Group D consisted of Dipen, Donna, and Deb. $$\newline$$ Players within each group had a distinct rank going into the championship. The players have NOT been listed necessarily according to their ranks. In the group stage of the game, the second and third ranked players play against each other, and the winner of that game plays against the first ranked player of the group. The winner of this second game is considered as the winner of the group and enters a semi-final. $$\newline$$ The winners from Groups A and B play against each other in one semi-final, while the winners from Groups C and D play against each other in the other semi-final. The winners of the two semi-finals play against each other in the final to decide the winner of the championship. $$\newline$$ It is known that: $$\newline$$ 1. Chitra did not win the championship. $$\newline$$ 2. Aruna did not play against Arif. Brij did not play against Brinda. $$\newline$$ 3. Aruna, Biju, Chitra, and Dipen played three games each, Azul and Chetan played two games each, and the remaining players played one game each.

Who won the championship?

Brij

Cannot be determined

Aruna

Chitra

Correct Answer

Option 3

Correct Answer

Explanation →

Q19:

CAT 2021 Slot 2

Logical Reasoning > Games & Tournaments

Easy

The game of Chango is a game where two people play against each other; one of them wins and the other loses, i.e., there are no drawn Chango games. 12 players participated in a Chango championship. They were divided into four groups: Group A consisted of Aruna, Azul, and Arif; Group B consisted of Brinda, Brij, and Biju; Group C consisted of Chitra, Chetan, and Chhavi; and Group D consisted of Dipen, Donna, and Deb. $$\newline$$ Players within each group had a distinct rank going into the championship. The players have NOT been listed necessarily according to their ranks. In the group stage of the game, the second and third ranked players play against each other, and the winner of that game plays against the first ranked player of the group. The winner of this second game is considered as the winner of the group and enters a semi-final. $$\newline$$ The winners from Groups A and B play against each other in one semi-final, while the winners from Groups C and D play against each other in the other semi-final. The winners of the two semi-finals play against each other in the final to decide the winner of the championship. $$\newline$$ It is known that: $$\newline$$ 1. Chitra did not win the championship. $$\newline$$ 2. Aruna did not play against Arif. Brij did not play against Brinda. $$\newline$$ 3. Aruna, Biju, Chitra, and Dipen played three games each, Azul and Chetan played two games each, and the remaining players played one game each.

Who among the following did NOT play against Chitra in the championship?

Biju

Aruna

Dipen

Chetan

Correct Answer

Option 1

Correct Answer

Explanation →

Q20:

CAT 2021 Slot 2

Logical Reasoning > Games & Tournaments

Medium

Ravi works in an online food-delivery company. After each delivery, customers rate Ravi on each of four parameters Behaviour, Packaging, Hygiene, and Timeliness, on a scale from $1$ to 9. If the total of the four rating points is $25$ or more, then Ravi gets a bonus of Rs. $20$ for that delivery. Additionally, a customer may or may not give Ravi a tip. If the customer gives a tip, it is either Rs. $30$ or Rs. $50$. $$\newline$$ One day, Ravi made four deliveries - one to each of Atal, Bihari, Chirag and Deepak, and received a total of Rs. $120$ in bonus and tips. He did not get both a bonus and a tip from the same customer. $$\newline$$ The following additional facts are also known. $$\newline$$ 1. In Timeliness, Ravi received a total of $21$ points, and three of the customers gave him the same rating points in this parameter. Atal gave higher rating points than Bihari and Chirag in this parameter. $$\newline$$ 2. Ravi received distinct rating points in Packaging from the four customers adding up to $29$ points. Similarly, Ravi received distinct rating points in Hygiene from the four customers adding up to $26$ points. $$\newline$$ 3. Chirag gave the same rating points for Packaging and Hygiene. $$\newline$$ 4. Among the four customers, Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene. $$\newline$$ 5. Everyone rated Ravi between $5$ and $7$ in Behaviour. Unique maximum and minimum ratings in this parameter were given by Atal and Deepak respectively. $$\newline$$ 6. If the customers are ranked based on ratings given by them in individual parameters, then Atal's rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak.

What was the minimum rating that Ravi received from any customer in any parameter?

Entered answer:

Correct Answer

5

Correct Answer

Explanation →

Q21:

CAT 2021 Slot 2

Logical Reasoning > Games & Tournaments

Medium

Ravi works in an online food-delivery company. After each delivery, customers rate Ravi on each of four parameters Behaviour, Packaging, Hygiene, and Timeliness, on a scale from $1$ to 9. If the total of the four rating points is $25$ or more, then Ravi gets a bonus of Rs. $20$ for that delivery. Additionally, a customer may or may not give Ravi a tip. If the customer gives a tip, it is either Rs. $30$ or Rs. $50$. $$\newline$$ One day, Ravi made four deliveries - one to each of Atal, Bihari, Chirag and Deepak, and received a total of Rs. $120$ in bonus and tips. He did not get both a bonus and a tip from the same customer. $$\newline$$ The following additional facts are also known. $$\newline$$ 1. In Timeliness, Ravi received a total of $21$ points, and three of the customers gave him the same rating points in this parameter. Atal gave higher rating points than Bihari and Chirag in this parameter. $$\newline$$ 2. Ravi received distinct rating points in Packaging from the four customers adding up to $29$ points. Similarly, Ravi received distinct rating points in Hygiene from the four customers adding up to $26$ points. $$\newline$$ 3. Chirag gave the same rating points for Packaging and Hygiene. $$\newline$$ 4. Among the four customers, Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene. $$\newline$$ 5. Everyone rated Ravi between $5$ and $7$ in Behaviour. Unique maximum and minimum ratings in this parameter were given by Atal and Deepak respectively. $$\newline$$ 6. If the customers are ranked based on ratings given by them in individual parameters, then Atal's rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak.

The COMPLETE list of customers who gave the maximum total rating points to Ravi is

Atal and Bihari

Bihari

Atal

Bihari and Chirag

Correct Answer

Option 4

Correct Answer

Explanation →

Q22:

CAT 2021 Slot 2

Logical Reasoning > Games & Tournaments

Medium

Ravi works in an online food-delivery company. After each delivery, customers rate Ravi on each of four parameters Behaviour, Packaging, Hygiene, and Timeliness, on a scale from $1$ to 9. If the total of the four rating points is $25$ or more, then Ravi gets a bonus of Rs. $20$ for that delivery. Additionally, a customer may or may not give Ravi a tip. If the customer gives a tip, it is either Rs. $30$ or Rs. $50$. $$\newline$$ One day, Ravi made four deliveries - one to each of Atal, Bihari, Chirag and Deepak, and received a total of Rs. $120$ in bonus and tips. He did not get both a bonus and a tip from the same customer. $$\newline$$ The following additional facts are also known. $$\newline$$ 1. In Timeliness, Ravi received a total of $21$ points, and three of the customers gave him the same rating points in this parameter. Atal gave higher rating points than Bihari and Chirag in this parameter. $$\newline$$ 2. Ravi received distinct rating points in Packaging from the four customers adding up to $29$ points. Similarly, Ravi received distinct rating points in Hygiene from the four customers adding up to $26$ points. $$\newline$$ 3. Chirag gave the same rating points for Packaging and Hygiene. $$\newline$$ 4. Among the four customers, Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene. $$\newline$$ 5. Everyone rated Ravi between $5$ and $7$ in Behaviour. Unique maximum and minimum ratings in this parameter were given by Atal and Deepak respectively. $$\newline$$ 6. If the customers are ranked based on ratings given by them in individual parameters, then Atal's rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak.

What rating did Atal give on Timeliness?

Entered answer:

Correct Answer

6

Correct Answer

Explanation →

Q23:

CAT 2021 Slot 2

Logical Reasoning > Games & Tournaments

Medium

Ravi works in an online food-delivery company. After each delivery, customers rate Ravi on each of four parameters Behaviour, Packaging, Hygiene, and Timeliness, on a scale from $1$ to 9. If the total of the four rating points is $25$ or more, then Ravi gets a bonus of Rs. $20$ for that delivery. Additionally, a customer may or may not give Ravi a tip. If the customer gives a tip, it is either Rs. $30$ or Rs. $50$. $$\newline$$ One day, Ravi made four deliveries - one to each of Atal, Bihari, Chirag and Deepak, and received a total of Rs. $120$ in bonus and tips. He did not get both a bonus and a tip from the same customer. $$\newline$$ The following additional facts are also known. $$\newline$$ 1. In Timeliness, Ravi received a total of $21$ points, and three of the customers gave him the same rating points in this parameter. Atal gave higher rating points than Bihari and Chirag in this parameter. $$\newline$$ 2. Ravi received distinct rating points in Packaging from the four customers adding up to $29$ points. Similarly, Ravi received distinct rating points in Hygiene from the four customers adding up to $26$ points. $$\newline$$ 3. Chirag gave the same rating points for Packaging and Hygiene. $$\newline$$ 4. Among the four customers, Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene. $$\newline$$ 5. Everyone rated Ravi between $5$ and $7$ in Behaviour. Unique maximum and minimum ratings in this parameter were given by Atal and Deepak respectively. $$\newline$$ 6. If the customers are ranked based on ratings given by them in individual parameters, then Atal's rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak.

What BEST can be concluded about the tip amount given by Deepak?

Either Rs. 0 or Rs. 30 or Rs. 50

Rs. 50

Either Rs. 30 or Rs. 50

Rs. 30

Correct Answer

Option 3

Correct Answer

Explanation →

Q24:

CAT 2021 Slot 2

Logical Reasoning > Games & Tournaments

Medium

Ravi works in an online food-delivery company. After each delivery, customers rate Ravi on each of four parameters Behaviour, Packaging, Hygiene, and Timeliness, on a scale from $1$ to 9. If the total of the four rating points is $25$ or more, then Ravi gets a bonus of Rs. $20$ for that delivery. Additionally, a customer may or may not give Ravi a tip. If the customer gives a tip, it is either Rs. $30$ or Rs. $50$. $$\newline$$ One day, Ravi made four deliveries - one to each of Atal, Bihari, Chirag and Deepak, and received a total of Rs. $120$ in bonus and tips. He did not get both a bonus and a tip from the same customer. $$\newline$$ The following additional facts are also known. $$\newline$$ 1. In Timeliness, Ravi received a total of $21$ points, and three of the customers gave him the same rating points in this parameter. Atal gave higher rating points than Bihari and Chirag in this parameter. $$\newline$$ 2. Ravi received distinct rating points in Packaging from the four customers adding up to $29$ points. Similarly, Ravi received distinct rating points in Hygiene from the four customers adding up to $26$ points. $$\newline$$ 3. Chirag gave the same rating points for Packaging and Hygiene. $$\newline$$ 4. Among the four customers, Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene. $$\newline$$ 5. Everyone rated Ravi between $5$ and $7$ in Behaviour. Unique maximum and minimum ratings in this parameter were given by Atal and Deepak respectively. $$\newline$$ 6. If the customers are ranked based on ratings given by them in individual parameters, then Atal's rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak.

In which parameter did Atal give the maximum rating points to Ravi?

Hygiene

Packaging

Timeliness

Behaviour

Correct Answer

Option 4

Correct Answer

Explanation →

Q25:

CAT 2021 Slot 2

Logical Reasoning > Games & Tournaments

Medium

Ravi works in an online food-delivery company. After each delivery, customers rate Ravi on each of four parameters Behaviour, Packaging, Hygiene, and Timeliness, on a scale from $1$ to 9. If the total of the four rating points is $25$ or more, then Ravi gets a bonus of Rs. $20$ for that delivery. Additionally, a customer may or may not give Ravi a tip. If the customer gives a tip, it is either Rs. $30$ or Rs. $50$. $$\newline$$ One day, Ravi made four deliveries - one to each of Atal, Bihari, Chirag and Deepak, and received a total of Rs. $120$ in bonus and tips. He did not get both a bonus and a tip from the same customer. $$\newline$$ The following additional facts are also known. $$\newline$$ 1. In Timeliness, Ravi received a total of $21$ points, and three of the customers gave him the same rating points in this parameter. Atal gave higher rating points than Bihari and Chirag in this parameter. $$\newline$$ 2. Ravi received distinct rating points in Packaging from the four customers adding up to $29$ points. Similarly, Ravi received distinct rating points in Hygiene from the four customers adding up to $26$ points. $$\newline$$ 3. Chirag gave the same rating points for Packaging and Hygiene. $$\newline$$ 4. Among the four customers, Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene. $$\newline$$ 5. Everyone rated Ravi between $5$ and $7$ in Behaviour. Unique maximum and minimum ratings in this parameter were given by Atal and Deepak respectively. $$\newline$$ 6. If the customers are ranked based on ratings given by them in individual parameters, then Atal's rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak.

What rating did Deepak give on Packaging?

7

5

6

8

Correct Answer

Option 1

Correct Answer

Explanation →

Q26:

CAT 2021 Slot 2

Logical Reasoning > Games & Tournaments

Hard

Ten objects o1, o2, …, o10 were distributed among Amar, Barat, Charles, Disha, and Elise. Each item went to exactly one person. Each person got exactly two of the items, and this pair of objects is called her/his bundle. The following table shows how each person values each object. <img src="https://balti.aftergrad.in/questions/DJZHabG89rcjnXz" width="400px"/> The value of any bundle by a person is the sum of that person's values of the objects in that bundle. A person X envies another person Y if X values Y 's bundle more than X 's own bundle. For example, hypothetically suppose Amar's bundle consists of $01$ and $02$, and Barat's bundle consists of $03$ and $04$. Then Amar values his own bundle at $4+9=13$ and Barat's bundle at $9$ $+3=12$. Hence Amar does not envy Barat. On the other hand, Barat values his own bundle at $7+5=12$ and Amar's bundle at $5+9=14$. Hence Barat envies Amar. The following facts are known about the actual distribution of the objects among the five people. 1. If someone's value for an object is $10$, then she/he received that object. 2. Objects o1, o2, and o3 were given to three different people. 3. Objects $01$ and $08$ were given to different people. 4. Three people value their own bundles at $16$. No one values her/his own bundle at a number higher than $16$. 5. Disha values her own bundle at an odd number. All others value their own bundles at an even number. 6. Some people who value their own bundles less than $16$ envy some other people who value their own bundle at $16$. No one else envies others.

What BEST can be said about object o8?

o8 was given to Amar, Charles, or Disha

8 was given to Charles

o8 was given to Disha

$08$ was given to Charles or Disha

Correct Answer

Option 2

Correct Answer

Explanation →

Q27:

CAT 2021 Slot 2

Logical Reasoning > Games & Tournaments

Hard

Ten objects o1, o2, …, o10 were distributed among Amar, Barat, Charles, Disha, and Elise. Each item went to exactly one person. Each person got exactly two of the items, and this pair of objects is called her/his bundle. The following table shows how each person values each object. <img src="https://balti.aftergrad.in/questions/DJZHabG89rcjnXz" width="400px"/> The value of any bundle by a person is the sum of that person's values of the objects in that bundle. A person X envies another person Y if X values Y 's bundle more than X 's own bundle. For example, hypothetically suppose Amar's bundle consists of $01$ and $02$, and Barat's bundle consists of $03$ and $04$. Then Amar values his own bundle at $4+9=13$ and Barat's bundle at $9$ $+3=12$. Hence Amar does not envy Barat. On the other hand, Barat values his own bundle at $7+5=12$ and Amar's bundle at $5+9=14$. Hence Barat envies Amar. The following facts are known about the actual distribution of the objects among the five people. 1. If someone's value for an object is $10$, then she/he received that object. 2. Objects o1, o2, and o3 were given to three different people. 3. Objects $01$ and $08$ were given to different people. 4. Three people value their own bundles at $16$. No one values her/his own bundle at a number higher than $16$. 5. Disha values her own bundle at an odd number. All others value their own bundles at an even number. 6. Some people who value their own bundles less than $16$ envy some other people who value their own bundle at $16$. No one else envies others.

Who among the following envies someone else?

Barat

Elise

Charles

Amar

Correct Answer

Option 4

Correct Answer

Explanation →

Q28:

CAT 2021 Slot 2

Logical Reasoning > Games & Tournaments

Hard

Ten objects o1, o2, …, o10 were distributed among Amar, Barat, Charles, Disha, and Elise. Each item went to exactly one person. Each person got exactly two of the items, and this pair of objects is called her/his bundle. The following table shows how each person values each object. <img src="https://balti.aftergrad.in/questions/DJZHabG89rcjnXz" width="400px"/> The value of any bundle by a person is the sum of that person's values of the objects in that bundle. A person X envies another person Y if X values Y 's bundle more than X 's own bundle. For example, hypothetically suppose Amar's bundle consists of $01$ and $02$, and Barat's bundle consists of $03$ and $04$. Then Amar values his own bundle at $4+9=13$ and Barat's bundle at $9$ $+3=12$. Hence Amar does not envy Barat. On the other hand, Barat values his own bundle at $7+5=12$ and Amar's bundle at $5+9=14$. Hence Barat envies Amar. The following facts are known about the actual distribution of the objects among the five people. 1. If someone's value for an object is $10$, then she/he received that object. 2. Objects o1, o2, and o3 were given to three different people. 3. Objects $01$ and $08$ were given to different people. 4. Three people value their own bundles at $16$. No one values her/his own bundle at a number higher than $16$. 5. Disha values her own bundle at an odd number. All others value their own bundles at an even number. 6. Some people who value their own bundles less than $16$ envy some other people who value their own bundle at $16$. No one else envies others.

What is Amar's value for his own bundle?

Entered answer:

Correct Answer

12

Correct Answer

Explanation →

Q29:

CAT 2021 Slot 2

Logical Reasoning > Games & Tournaments

Hard

Ten objects o1, o2, …, o10 were distributed among Amar, Barat, Charles, Disha, and Elise. Each item went to exactly one person. Each person got exactly two of the items, and this pair of objects is called her/his bundle. The following table shows how each person values each object. <img src="https://balti.aftergrad.in/questions/DJZHabG89rcjnXz" width="400px"/> The value of any bundle by a person is the sum of that person's values of the objects in that bundle. A person X envies another person Y if X values Y 's bundle more than X 's own bundle. For example, hypothetically suppose Amar's bundle consists of $01$ and $02$, and Barat's bundle consists of $03$ and $04$. Then Amar values his own bundle at $4+9=13$ and Barat's bundle at $9$ $+3=12$. Hence Amar does not envy Barat. On the other hand, Barat values his own bundle at $7+5=12$ and Amar's bundle at $5+9=14$. Hence Barat envies Amar. The following facts are known about the actual distribution of the objects among the five people. 1. If someone's value for an object is $10$, then she/he received that object. 2. Objects o1, o2, and o3 were given to three different people. 3. Objects $01$ and $08$ were given to different people. 4. Three people value their own bundles at $16$. No one values her/his own bundle at a number higher than $16$. 5. Disha values her own bundle at an odd number. All others value their own bundles at an even number. 6. Some people who value their own bundles less than $16$ envy some other people who value their own bundle at $16$. No one else envies others.

Object o4 was given to

Elise

Charles

Barat

Disha

Correct Answer

Option 4

Correct Answer

Explanation →

Q30:

CAT 2021 Slot 2

Logical Reasoning > Games & Tournaments

Hard

Ten objects o1, o2, …, o10 were distributed among Amar, Barat, Charles, Disha, and Elise. Each item went to exactly one person. Each person got exactly two of the items, and this pair of objects is called her/his bundle. The following table shows how each person values each object. <img src="https://balti.aftergrad.in/questions/DJZHabG89rcjnXz" width="400px"/> The value of any bundle by a person is the sum of that person's values of the objects in that bundle. A person X envies another person Y if X values Y 's bundle more than X 's own bundle. For example, hypothetically suppose Amar's bundle consists of $01$ and $02$, and Barat's bundle consists of $03$ and $04$. Then Amar values his own bundle at $4+9=13$ and Barat's bundle at $9$ $+3=12$. Hence Amar does not envy Barat. On the other hand, Barat values his own bundle at $7+5=12$ and Amar's bundle at $5+9=14$. Hence Barat envies Amar. The following facts are known about the actual distribution of the objects among the five people. 1. If someone's value for an object is $10$, then she/he received that object. 2. Objects o1, o2, and o3 were given to three different people. 3. Objects $01$ and $08$ were given to different people. 4. Three people value their own bundles at $16$. No one values her/his own bundle at a number higher than $16$. 5. Disha values her own bundle at an odd number. All others value their own bundles at an even number. 6. Some people who value their own bundles less than $16$ envy some other people who value their own bundle at $16$. No one else envies others.

Object o5 was given to

Disha

Elise

Charles

Amar

Correct Answer

Option 2

Correct Answer

Explanation →

Q31:

CAT 2021 Slot 2

Logical Reasoning > Games & Tournaments

Hard

Ten objects o1, o2, …, o10 were distributed among Amar, Barat, Charles, Disha, and Elise. Each item went to exactly one person. Each person got exactly two of the items, and this pair of objects is called her/his bundle. The following table shows how each person values each object. <img src="https://balti.aftergrad.in/questions/DJZHabG89rcjnXz" width="400px"/> The value of any bundle by a person is the sum of that person's values of the objects in that bundle. A person X envies another person Y if X values Y 's bundle more than X 's own bundle. For example, hypothetically suppose Amar's bundle consists of $01$ and $02$, and Barat's bundle consists of $03$ and $04$. Then Amar values his own bundle at $4+9=13$ and Barat's bundle at $9$ $+3=12$. Hence Amar does not envy Barat. On the other hand, Barat values his own bundle at $7+5=12$ and Amar's bundle at $5+9=14$. Hence Barat envies Amar. The following facts are known about the actual distribution of the objects among the five people. 1. If someone's value for an object is $10$, then she/he received that object. 2. Objects o1, o2, and o3 were given to three different people. 3. Objects $01$ and $08$ were given to different people. 4. Three people value their own bundles at $16$. No one values her/his own bundle at a number higher than $16$. 5. Disha values her own bundle at an odd number. All others value their own bundles at an even number. 6. Some people who value their own bundles less than $16$ envy some other people who value their own bundle at $16$. No one else envies others.

What BEST can be said about the distribution of object o1?

o1 was given to Charles

o1 was given to Charles or Disha

o1 was given to Disha

o1 was given to Charles, Disha, or Elise

Correct Answer

Option 3

Correct Answer

Explanation →

Q32:

CAT 2020 Slot 3

Logical Reasoning > Games & Tournaments

Hard

The Hi-Lo game is a four-player game played in six rounds. In every round, each player chooses to bid Hi or Lo. The bids are made simultaneously. If all four bid Hi, then all four lose 1 point each. If three players bid Hi and one bids Lo, then the players bidding Hi gain 1 point each and the player bidding Lo loses 3 points. If two players bid Hi and two bid Lo, then the players bidding Hi gain 2 points each and the players bidding Lo lose 2 points each. If one player bids Hi and three bid Lo, then the player bidding Hi gains 3 points and the players bidding Lo lose 1 point each. If all four bid Lo, then all four gain 1 point each. $$\newline$$ Four players Arun, Bankim, Charu, and Dipak played the Hi-Lo game. The following facts are known about their game: $$\newline$$ <ol><li>At the end of three rounds, Arun had scored 6 points, Dipak had scored 2 points, Bankim and Charu had scored -2 points each.</li> $$\newline$$ <li>At the end of six rounds, Arun had scored 7 points, Bankim and Dipak had scored -1 point each, and Charu had scored -5 points.</li> $$\newline$$ <li>Dipak's score in the third round was less than his score in the first round but was more than his score in the second round.</li> $$\newline$$ <li>In exactly two out of the six rounds, Arun was the only player who bid Hi.</li></ol>

What were the bids by Arun, Bankim, Charu and Dipak, respectively in the first round?

Lo, Lo, Lo, Hi

Hi, Lo, Lo, Hi

Hi, Hi, Lo, Lo

Hi, Lo, Lo, Lo

Correct Answer

Option 2

Correct Answer

Explanation →

Q33:

CAT 2020 Slot 3

Logical Reasoning > Games & Tournaments

Hard

The Hi-Lo game is a four-player game played in six rounds. In every round, each player chooses to bid Hi or Lo. The bids are made simultaneously. If all four bid Hi, then all four lose 1 point each. If three players bid Hi and one bids Lo, then the players bidding Hi gain 1 point each and the player bidding Lo loses 3 points. If two players bid Hi and two bid Lo, then the players bidding Hi gain 2 points each and the players bidding Lo lose 2 points each. If one player bids Hi and three bid Lo, then the player bidding Hi gains 3 points and the players bidding Lo lose 1 point each. If all four bid Lo, then all four gain 1 point each. $$\newline$$ Four players Arun, Bankim, Charu, and Dipak played the Hi-Lo game. The following facts are known about their game: $$\newline$$ <ol><li>At the end of three rounds, Arun had scored 6 points, Dipak had scored 2 points, Bankim and Charu had scored -2 points each.</li> $$\newline$$ <li>At the end of six rounds, Arun had scored 7 points, Bankim and Dipak had scored -1 point each, and Charu had scored -5 points.</li> $$\newline$$ <li>Dipak's score in the third round was less than his score in the first round but was more than his score in the second round.</li> $$\newline$$ <li>In exactly two out of the six rounds, Arun was the only player who bid Hi.</li></ol>

In how many rounds did Arun bid Hi?

Entered answer:

Correct Answer

4

Correct Answer

Explanation →

Q34:

CAT 2020 Slot 3

Logical Reasoning > Games & Tournaments

Hard

The Hi-Lo game is a four-player game played in six rounds. In every round, each player chooses to bid Hi or Lo. The bids are made simultaneously. If all four bid Hi, then all four lose 1 point each. If three players bid Hi and one bids Lo, then the players bidding Hi gain 1 point each and the player bidding Lo loses 3 points. If two players bid Hi and two bid Lo, then the players bidding Hi gain 2 points each and the players bidding Lo lose 2 points each. If one player bids Hi and three bid Lo, then the player bidding Hi gains 3 points and the players bidding Lo lose 1 point each. If all four bid Lo, then all four gain 1 point each. $$\newline$$ Four players Arun, Bankim, Charu, and Dipak played the Hi-Lo game. The following facts are known about their game: $$\newline$$ <ol><li>At the end of three rounds, Arun had scored 6 points, Dipak had scored 2 points, Bankim and Charu had scored -2 points each.</li> $$\newline$$ <li>At the end of six rounds, Arun had scored 7 points, Bankim and Dipak had scored -1 point each, and Charu had scored -5 points.</li> $$\newline$$ <li>Dipak's score in the third round was less than his score in the first round but was more than his score in the second round.</li> $$\newline$$ <li>In exactly two out of the six rounds, Arun was the only player who bid Hi.</li></ol>

In how many rounds did Bankim bid Lo?

Entered answer:

Correct Answer

4

Correct Answer

Explanation →

Q35:

CAT 2020 Slot 3

Logical Reasoning > Games & Tournaments

Hard

The Hi-Lo game is a four-player game played in six rounds. In every round, each player chooses to bid Hi or Lo. The bids are made simultaneously. If all four bid Hi, then all four lose 1 point each. If three players bid Hi and one bids Lo, then the players bidding Hi gain 1 point each and the player bidding Lo loses 3 points. If two players bid Hi and two bid Lo, then the players bidding Hi gain 2 points each and the players bidding Lo lose 2 points each. If one player bids Hi and three bid Lo, then the player bidding Hi gains 3 points and the players bidding Lo lose 1 point each. If all four bid Lo, then all four gain 1 point each. $$\newline$$ Four players Arun, Bankim, Charu, and Dipak played the Hi-Lo game. The following facts are known about their game: $$\newline$$ <ol><li>At the end of three rounds, Arun had scored 6 points, Dipak had scored 2 points, Bankim and Charu had scored -2 points each.</li> $$\newline$$ <li>At the end of six rounds, Arun had scored 7 points, Bankim and Dipak had scored -1 point each, and Charu had scored -5 points.</li> $$\newline$$ <li>Dipak's score in the third round was less than his score in the first round but was more than his score in the second round.</li> $$\newline$$ <li>In exactly two out of the six rounds, Arun was the only player who bid Hi.</li></ol>

In how many rounds did all four players make identical bids?

Entered answer:

Correct Answer

2

Correct Answer

Explanation →

Q36:

CAT 2020 Slot 3

Logical Reasoning > Games & Tournaments

Hard

The Hi-Lo game is a four-player game played in six rounds. In every round, each player chooses to bid Hi or Lo. The bids are made simultaneously. If all four bid Hi, then all four lose 1 point each. If three players bid Hi and one bids Lo, then the players bidding Hi gain 1 point each and the player bidding Lo loses 3 points. If two players bid Hi and two bid Lo, then the players bidding Hi gain 2 points each and the players bidding Lo lose 2 points each. If one player bids Hi and three bid Lo, then the player bidding Hi gains 3 points and the players bidding Lo lose 1 point each. If all four bid Lo, then all four gain 1 point each. $$\newline$$ Four players Arun, Bankim, Charu, and Dipak played the Hi-Lo game. The following facts are known about their game: $$\newline$$ <ol><li>At the end of three rounds, Arun had scored 6 points, Dipak had scored 2 points, Bankim and Charu had scored -2 points each.</li> $$\newline$$ <li>At the end of six rounds, Arun had scored 7 points, Bankim and Dipak had scored -1 point each, and Charu had scored -5 points.</li> $$\newline$$ <li>Dipak's score in the third round was less than his score in the first round but was more than his score in the second round.</li> $$\newline$$ <li>In exactly two out of the six rounds, Arun was the only player who bid Hi.</li></ol>

In how many rounds did Dipak gain exactly 1 point?

Entered answer:

Correct Answer

1

Correct Answer

Explanation →

Q37:

CAT 2020 Slot 3

Logical Reasoning > Games & Tournaments

Hard

The Hi-Lo game is a four-player game played in six rounds. In every round, each player chooses to bid Hi or Lo. The bids are made simultaneously. If all four bid Hi, then all four lose 1 point each. If three players bid Hi and one bids Lo, then the players bidding Hi gain 1 point each and the player bidding Lo loses 3 points. If two players bid Hi and two bid Lo, then the players bidding Hi gain 2 points each and the players bidding Lo lose 2 points each. If one player bids Hi and three bid Lo, then the player bidding Hi gains 3 points and the players bidding Lo lose 1 point each. If all four bid Lo, then all four gain 1 point each. $$\newline$$ Four players Arun, Bankim, Charu, and Dipak played the Hi-Lo game. The following facts are known about their game: $$\newline$$ <ol><li>At the end of three rounds, Arun had scored 6 points, Dipak had scored 2 points, Bankim and Charu had scored -2 points each.</li> $$\newline$$ <li>At the end of six rounds, Arun had scored 7 points, Bankim and Dipak had scored -1 point each, and Charu had scored -5 points.</li> $$\newline$$ <li>Dipak's score in the third round was less than his score in the first round but was more than his score in the second round.</li> $$\newline$$ <li>In exactly two out of the six rounds, Arun was the only player who bid Hi.</li></ol>

In which of the following rounds, was Arun DEFINITELY the only player to bid Hi?

Second

Fourth

Third

First

Correct Answer

Option 1

Correct Answer

Explanation →

Q38:

CAT 2019 Slot 2

Logical Reasoning > Games & Tournaments

Hard

Ten players, as listed in the table below, participated in a rifle shooting competition comprising of 10 rounds. Each round had 6 participants. Players numbered 1 through 6 participated in Round 1, players 2 through 7 in Round 2,..., players 5 through 10 in Round 5, players 6 through 10 and 1 in Round 6, players 7 through 10, 1 and 2 in Round 7 and so on. $$\newline$$ The top three performances in each round were awarded 7, 3 and 1 points respectively. There were no ties in any of the 10 rounds. The table below gives the total number of points obtained by the 10 players after Round 6 and Round 10. $$\newline$$ <table class="question-table"><thead><tr><th>Player No.</th><th>Player Name</th><th>Points after Round 6</th><th>Points after Round 10</th></tr></thead><tbody><tr><td>1</td><td>Amita</td><td>8</td><td>18</td></tr><tr><td>2</td><td>Bala</td><td>2</td><td>5</td></tr><tr><td>3</td><td>Chen</td><td>3</td><td>6</td></tr><tr><td>4</td><td>David</td><td>6</td><td>6</td></tr><tr><td>5</td><td>Eric</td><td>3</td><td>10</td></tr><tr><td>6</td><td>Fatima</td><td>10</td><td>10</td></tr><tr><td>7</td><td>Gordon</td><td>17</td><td>17</td></tr><tr><td>8</td><td>Hansa</td><td>1</td><td>4</td></tr><tr><td>9</td><td>Ikea</td><td>2</td><td>17</td></tr><tr><td>10</td><td>Joshin</td><td>14</td><td>17</td></tr></tbody></table> $$\newline$$ The following information is known about Rounds 1 through 6: $$\newline$$ <ol><li>Gordon did not score consecutively in any two rounds.</li> $$\newline$$ <li>Eric and Fatima both scored in a round.</li></ol> $$\newline$$ The following information is known about Rounds 7 through 10: $$\newline$$ <ol><li>Only two players scored in three consecutive rounds. One of them was Chen. No other player scored in any two consecutive rounds.</li> $$\newline$$ <li>Joshin scored in Round 7, while Amita scored in Round 10.</li> $$\newline$$ <li>No player scored in all the four rounds.</li></ol>

What were the scores of Chen, David, and Eric respectively after Round 3?

3, 6, 3

3, 0, 3

3, 3, 3

3, 3, 0

Correct Answer

Option 3

Correct Answer

Explanation →

Q39:

CAT 2019 Slot 2

Logical Reasoning > Games & Tournaments

Hard

Ten players, as listed in the table below, participated in a rifle shooting competition comprising of 10 rounds. Each round had 6 participants. Players numbered 1 through 6 participated in Round 1, players 2 through 7 in Round 2,..., players 5 through 10 in Round 5, players 6 through 10 and 1 in Round 6, players 7 through 10, 1 and 2 in Round 7 and so on. $$\newline$$ The top three performances in each round were awarded 7, 3 and 1 points respectively. There were no ties in any of the 10 rounds. The table below gives the total number of points obtained by the 10 players after Round 6 and Round 10. $$\newline$$ <table class="question-table"><thead><tr><th>Player No.</th><th>Player Name</th><th>Points after Round 6</th><th>Points after Round 10</th></tr></thead><tbody><tr><td>1</td><td>Amita</td><td>8</td><td>18</td></tr><tr><td>2</td><td>Bala</td><td>2</td><td>5</td></tr><tr><td>3</td><td>Chen</td><td>3</td><td>6</td></tr><tr><td>4</td><td>David</td><td>6</td><td>6</td></tr><tr><td>5</td><td>Eric</td><td>3</td><td>10</td></tr><tr><td>6</td><td>Fatima</td><td>10</td><td>10</td></tr><tr><td>7</td><td>Gordon</td><td>17</td><td>17</td></tr><tr><td>8</td><td>Hansa</td><td>1</td><td>4</td></tr><tr><td>9</td><td>Ikea</td><td>2</td><td>17</td></tr><tr><td>10</td><td>Joshin</td><td>14</td><td>17</td></tr></tbody></table> $$\newline$$ The following information is known about Rounds 1 through 6: $$\newline$$ <ol><li>Gordon did not score consecutively in any two rounds.</li> $$\newline$$ <li>Eric and Fatima both scored in a round.</li></ol> $$\newline$$ The following information is known about Rounds 7 through 10: $$\newline$$ <ol><li>Only two players scored in three consecutive rounds. One of them was Chen. No other player scored in any two consecutive rounds.</li> $$\newline$$ <li>Joshin scored in Round 7, while Amita scored in Round 10.</li> $$\newline$$ <li>No player scored in all the four rounds.</li></ol>

Which three players were in the last three positions after Round 4?

Bala, Ikea, Joshin

Bala, Hansa, Ikea

Hansa, Ikea, Joshin

Bala, Chen, Gordon

Correct Answer

Option 3

Correct Answer

Explanation →

Q40:

CAT 2019 Slot 2

Logical Reasoning > Games & Tournaments

Hard

Ten players, as listed in the table below, participated in a rifle shooting competition comprising of 10 rounds. Each round had 6 participants. Players numbered 1 through 6 participated in Round 1, players 2 through 7 in Round 2,..., players 5 through 10 in Round 5, players 6 through 10 and 1 in Round 6, players 7 through 10, 1 and 2 in Round 7 and so on. $$\newline$$ The top three performances in each round were awarded 7, 3 and 1 points respectively. There were no ties in any of the 10 rounds. The table below gives the total number of points obtained by the 10 players after Round 6 and Round 10. $$\newline$$ <table class="question-table"><thead><tr><th>Player No.</th><th>Player Name</th><th>Points after Round 6</th><th>Points after Round 10</th></tr></thead><tbody><tr><td>1</td><td>Amita</td><td>8</td><td>18</td></tr><tr><td>2</td><td>Bala</td><td>2</td><td>5</td></tr><tr><td>3</td><td>Chen</td><td>3</td><td>6</td></tr><tr><td>4</td><td>David</td><td>6</td><td>6</td></tr><tr><td>5</td><td>Eric</td><td>3</td><td>10</td></tr><tr><td>6</td><td>Fatima</td><td>10</td><td>10</td></tr><tr><td>7</td><td>Gordon</td><td>17</td><td>17</td></tr><tr><td>8</td><td>Hansa</td><td>1</td><td>4</td></tr><tr><td>9</td><td>Ikea</td><td>2</td><td>17</td></tr><tr><td>10</td><td>Joshin</td><td>14</td><td>17</td></tr></tbody></table> $$\newline$$ The following information is known about Rounds 1 through 6: $$\newline$$ <ol><li>Gordon did not score consecutively in any two rounds.</li> $$\newline$$ <li>Eric and Fatima both scored in a round.</li></ol> $$\newline$$ The following information is known about Rounds 7 through 10: $$\newline$$ <ol><li>Only two players scored in three consecutive rounds. One of them was Chen. No other player scored in any two consecutive rounds.</li> $$\newline$$ <li>Joshin scored in Round 7, while Amita scored in Round 10.</li> $$\newline$$ <li>No player scored in all the four rounds.</li></ol>

Which player scored points in maximum number of rounds?

Ikea

Joshin

Chen

Amita

Correct Answer

Option 1

Correct Answer

Explanation →

Q41:

CAT 2019 Slot 2

Logical Reasoning > Games & Tournaments

Hard

Ten players, as listed in the table below, participated in a rifle shooting competition comprising of 10 rounds. Each round had 6 participants. Players numbered 1 through 6 participated in Round 1, players 2 through 7 in Round 2,..., players 5 through 10 in Round 5, players 6 through 10 and 1 in Round 6, players 7 through 10, 1 and 2 in Round 7 and so on. $$\newline$$ The top three performances in each round were awarded 7, 3 and 1 points respectively. There were no ties in any of the 10 rounds. The table below gives the total number of points obtained by the 10 players after Round 6 and Round 10. $$\newline$$ <table class="question-table"><thead><tr><th>Player No.</th><th>Player Name</th><th>Points after Round 6</th><th>Points after Round 10</th></tr></thead><tbody><tr><td>1</td><td>Amita</td><td>8</td><td>18</td></tr><tr><td>2</td><td>Bala</td><td>2</td><td>5</td></tr><tr><td>3</td><td>Chen</td><td>3</td><td>6</td></tr><tr><td>4</td><td>David</td><td>6</td><td>6</td></tr><tr><td>5</td><td>Eric</td><td>3</td><td>10</td></tr><tr><td>6</td><td>Fatima</td><td>10</td><td>10</td></tr><tr><td>7</td><td>Gordon</td><td>17</td><td>17</td></tr><tr><td>8</td><td>Hansa</td><td>1</td><td>4</td></tr><tr><td>9</td><td>Ikea</td><td>2</td><td>17</td></tr><tr><td>10</td><td>Joshin</td><td>14</td><td>17</td></tr></tbody></table> $$\newline$$ The following information is known about Rounds 1 through 6: $$\newline$$ <ol><li>Gordon did not score consecutively in any two rounds.</li> $$\newline$$ <li>Eric and Fatima both scored in a round.</li></ol> $$\newline$$ The following information is known about Rounds 7 through 10: $$\newline$$ <ol><li>Only two players scored in three consecutive rounds. One of them was Chen. No other player scored in any two consecutive rounds.</li> $$\newline$$ <li>Joshin scored in Round 7, while Amita scored in Round 10.</li> $$\newline$$ <li>No player scored in all the four rounds.</li></ol>

Which players scored points in the last round?

Amita, Chen, Eric

Amita, Chen, David

Amita, Bala, Chen

Amita, Eric, Joshin

Correct Answer

Option 1

Correct Answer

Explanation →

Q42:

CAT 2019 Slot 1

Logical Reasoning > Games & Tournaments

Hard

Six players - Tanzi, Umeza, Wangdu, Xyla, Yonita and Zeneca competed in an archery tournament. The tournament had three compulsory rounds, Rounds 1 to 3. In each round every player shot an arrow at a target. Hitting the centre of the target (called bull's eye) fetched the highest score of 5. The only other possible scores that a player could achieve were 4, 3, 2 and 1. Every bull's eye score in the first three rounds gave a player one additional chance to shoot in the bonus rounds, Rounds 4 to 6. The possible scores in Rounds 4 to 6 were identical to the first three. A player's total score in the tournament was the sum of his/her scores in all rounds played by him/her. The table below presents partial information on points scored by the players after completion of the tournament. In the table, NP means that the player did not participate in that round, while a hyphen means that the player participated in that round and the score information is missing. | Name | Round-1 | Round-2 | Round-3 | Round-4 | Round-5 | Round-6 | |---------|---------|---------|---------|---------|---------|---------| | Tanzi | - | 4 | - | 5 | NP | NP | | Umeza | - | - | - | 1 | 2 | NP | | Wangdu | - | 4 | - | NP | NP | NP | | Xyla | - | - | - | 1 | 5 | - | | Yonita | - | - | 3 | 5 | NP | NP | | Zeneca | - | - | - | 5 | 5 | NP | The following facts are also known. <ol><li>Tanzi, Umeza and Yonita had the same total score.</li> <li>Total scores for all players, except one, were in multiples of three.</li> <li>The highest total score was one more than double of the lowest total score.</li> <li>The number of players hitting bull's eye in Round 2 was double of that in Round 3.</li> <li>Tanzi and Zeneca had the same score in Round 1 but different scores in Round 3.</li> </ol>

What was the highest total score?

25

21

24

23

Correct Answer

Option 1

Correct Answer

Explanation →

Q43:

CAT 2019 Slot 1

Logical Reasoning > Games & Tournaments

Hard

Six players - Tanzi, Umeza, Wangdu, Xyla, Yonita and Zeneca competed in an archery tournament. The tournament had three compulsory rounds, Rounds 1 to 3. In each round every player shot an arrow at a target. Hitting the centre of the target (called bull's eye) fetched the highest score of 5. The only other possible scores that a player could achieve were 4, 3, 2 and 1. Every bull's eye score in the first three rounds gave a player one additional chance to shoot in the bonus rounds, Rounds 4 to 6. The possible scores in Rounds 4 to 6 were identical to the first three. A player's total score in the tournament was the sum of his/her scores in all rounds played by him/her. The table below presents partial information on points scored by the players after completion of the tournament. In the table, NP means that the player did not participate in that round, while a hyphen means that the player participated in that round and the score information is missing. | Name | Round-1 | Round-2 | Round-3 | Round-4 | Round-5 | Round-6 | |---------|---------|---------|---------|---------|---------|---------| | Tanzi | - | 4 | - | 5 | NP | NP | | Umeza | - | - | - | 1 | 2 | NP | | Wangdu | - | 4 | - | NP | NP | NP | | Xyla | - | - | - | 1 | 5 | - | | Yonita | - | - | 3 | 5 | NP | NP | | Zeneca | - | - | - | 5 | 5 | NP | The following facts are also known. <ol><li>Tanzi, Umeza and Yonita had the same total score.</li> <li>Total scores for all players, except one, were in multiples of three.</li> <li>The highest total score was one more than double of the lowest total score.</li> <li>The number of players hitting bull's eye in Round 2 was double of that in Round 3.</li> <li>Tanzi and Zeneca had the same score in Round 1 but different scores in Round 3.</li> </ol>

What was Zeneca's total score?

21

22

23

24

Correct Answer

Option 4

Correct Answer

Explanation →

Q44:

CAT 2019 Slot 1

Logical Reasoning > Games & Tournaments

Hard

Six players - Tanzi, Umeza, Wangdu, Xyla, Yonita and Zeneca competed in an archery tournament. The tournament had three compulsory rounds, Rounds 1 to 3. In each round every player shot an arrow at a target. Hitting the centre of the target (called bull's eye) fetched the highest score of 5. The only other possible scores that a player could achieve were 4, 3, 2 and 1. Every bull's eye score in the first three rounds gave a player one additional chance to shoot in the bonus rounds, Rounds 4 to 6. The possible scores in Rounds 4 to 6 were identical to the first three. A player's total score in the tournament was the sum of his/her scores in all rounds played by him/her. The table below presents partial information on points scored by the players after completion of the tournament. In the table, NP means that the player did not participate in that round, while a hyphen means that the player participated in that round and the score information is missing. | Name | Round-1 | Round-2 | Round-3 | Round-4 | Round-5 | Round-6 | |---------|---------|---------|---------|---------|---------|---------| | Tanzi | - | 4 | - | 5 | NP | NP | | Umeza | - | - | - | 1 | 2 | NP | | Wangdu | - | 4 | - | NP | NP | NP | | Xyla | - | - | - | 1 | 5 | - | | Yonita | - | - | 3 | 5 | NP | NP | | Zeneca | - | - | - | 5 | 5 | NP | The following facts are also known. <ol><li>Tanzi, Umeza and Yonita had the same total score.</li> <li>Total scores for all players, except one, were in multiples of three.</li> <li>The highest total score was one more than double of the lowest total score.</li> <li>The number of players hitting bull's eye in Round 2 was double of that in Round 3.</li> <li>Tanzi and Zeneca had the same score in Round 1 but different scores in Round 3.</li> </ol>

Which of the following statements is true?

Xyla's score was 23

Xyla was the highest scorer

Zeneca was the highest scorer

Zeneca's score was 23

Correct Answer

Option 2

Correct Answer

Explanation →

Q45:

CAT 2019 Slot 1

Logical Reasoning > Games & Tournaments

Hard

Six players - Tanzi, Umeza, Wangdu, Xyla, Yonita and Zeneca competed in an archery tournament. The tournament had three compulsory rounds, Rounds 1 to 3. In each round every player shot an arrow at a target. Hitting the centre of the target (called bull's eye) fetched the highest score of 5. The only other possible scores that a player could achieve were 4, 3, 2 and 1. Every bull's eye score in the first three rounds gave a player one additional chance to shoot in the bonus rounds, Rounds 4 to 6. The possible scores in Rounds 4 to 6 were identical to the first three. A player's total score in the tournament was the sum of his/her scores in all rounds played by him/her. The table below presents partial information on points scored by the players after completion of the tournament. In the table, NP means that the player did not participate in that round, while a hyphen means that the player participated in that round and the score information is missing. | Name | Round-1 | Round-2 | Round-3 | Round-4 | Round-5 | Round-6 | |---------|---------|---------|---------|---------|---------|---------| | Tanzi | - | 4 | - | 5 | NP | NP | | Umeza | - | - | - | 1 | 2 | NP | | Wangdu | - | 4 | - | NP | NP | NP | | Xyla | - | - | - | 1 | 5 | - | | Yonita | - | - | 3 | 5 | NP | NP | | Zeneca | - | - | - | 5 | 5 | NP | The following facts are also known. <ol><li>Tanzi, Umeza and Yonita had the same total score.</li> <li>Total scores for all players, except one, were in multiples of three.</li> <li>The highest total score was one more than double of the lowest total score.</li> <li>The number of players hitting bull's eye in Round 2 was double of that in Round 3.</li> <li>Tanzi and Zeneca had the same score in Round 1 but different scores in Round 3.</li> </ol>

What was Tanzi's score in Round 3?

5

4

1

3

Correct Answer

Option 3

Correct Answer

Explanation →